Introduction to nonextensive statistical mechanics
Subtitle: approaching a complex world
By: Constantino Tsallis
Publisher: Springer
Published: 2009
Place of publication: New York
Language: eng
Number of pages: 382
ISBN-13: 9780387853581
Description: This book focuses on nonextensive statistical mechanics, a current generalization of Boltzmann-Gibbs (BG) statistical mechanics, one of the greatest monuments of contemporary physics. Conceived more than 130 years ago by Maxwell, Boltzmann and Gibbs, the BG theory exhibits many impressive successes in physics, chemistry, mathematics, and computational sciences. Presently, several thousands of publications by scientists around the world have been dedicated to its nonextensive generalization. A variety of applications have emerged in complex systems and its mathematical grounding is by now well advanced. A pedagogical introduction to its concepts--nonlinear dynamics, extensivity of the nonadditive entropy, global correlations, and extensions of the standard central limit theorems, among others--is presented in this book,a s well as a selection of paradigmatic applications in various sciences and diversified experimental verifications of some of its predictions.
Notes: Includes bibliographical references (p. 343-379) and index.